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Abstract In this paper, we establish the existence of two non-zero solutions for a mixed boundary value problem with the Sturm–Liouville equation. The approach is based on a recent two critical point theorem. [ABSTRACT FROM AUTHOR]

Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result. [ABSTRACT FROM AUTHOR]

In this paper, a class of nonlinear differential boundary value problems with variable exponent is investigated. The existence of at least one non-zero solution is established, without assuming on the nonlinear term any condition either at zero or at infinity. The approach is developed within the framework of the Orlicz-Sobolev spaces with variable exponent and it is based on a local minimum theorem for differentiable functions. [ABSTRACT FROM AUTHOR]

Abstract: The aim of this paper is to establish the existence of an unbounded sequence of weak solutions for a class of differential equations with -Laplacian and subject to small perturbations of nonhomogeneous Neumann conditions. The approach is based on variational methods. [Copyright &y& Elsevier]

Abstract: In this paper, existence results of positive solutions to a Neumann problem involving the p-Laplacian are established. Multiplicity results are also pointed out. The approach is based on variational methods. [Copyright &y& Elsevier]

The existence of infinitely many solutions for a class of Dirichlet quasilinear elliptic systems is established. The approach is based on variational methods. [ABSTRACT FROM AUTHOR]